IB Maths AA SL AA 4.2 Correlation and regression questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

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Paper 1, no calculator Paper 2, calculator

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Question 1

Paper 2, calculatorHard6 marks

A small business records its advertising expenditure, $x$ in hundreds of dollars, and the number of enquiries received in a week, $y$ for five weeks.

$x$	1	3	5	7	9
$y$	3	8	4	10	6

(a)

Determine the regression line of $x$ on $y$ giving its coefficients to three significant figures.

[2]

(b)

Use your regression line from part (a) to estimate the advertising expenditure when $y=7$ Give your answer in hundreds of dollars.

[1]

(c)

A manager wishes to estimate $y$ when $x=9$ She rearranges the line from part (a) and obtains $y=14.4$

Determine a regression estimate you would use instead, and explain why the manager’s value should not be treated as the regression estimate for predicting $y$ from $x$

[3]

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